Results 11 to 20 of about 32,500 (209)

From Turing instability to fractals [PDF]

Nonlinear Photonics, 2007
Complexity focuses on commonality across subject areas and forms a natural platform for multidisciplinary activities. Typical generic signatures of complexity include: (i) spontaneous occurrence of simple patterns (e.g.
D’Alessandro, Huang, Huang, Karman, Patrascu, Sears, Soljacic   +6 more
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Turing Instability in a Boundary-fed System [PDF]

Physical Review E, 1998
The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system.
A. M. Turing, B. T. Smith, E. Dulos, G. Dewel, G. Dewel, G. Dewel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, J. D. Murray, J. E. Pearson, J. F. Auchmuty, J. J. Perraud, L. Kramer, M. C. Cross, M. C. Cross, O. Jensen, O. Jensen, P. De Kepper, Q. Ouyang, Q. Ouyang, Q. Ouyang, S. Kadar, S. Setayeshgar, V. Castets, V. Dufiet, W. H. Press   +29 more
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Concentric ring patterns beyond Turing instability

Physical Review Research, 2023
Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc, S. Echeverria-Alar, L. A. Letelier, C. Núñez-Barra   +3 more
doaj   +2 more sources

Turing instability in reaction–diffusion models on complex networks [PDF]

Physica A: Statistical Mechanics and its Applications, 2016
In this paper, the Turing instability in reaction-diffusion models defined on complex networks is studied. Here, we focus on three types of models which generate complex networks, i.e. the Erd s-R nyi, the Watts-Strogatz, and the threshold network models.
Ide, Yusuke, Izuhara, Hirofumi, Machida, Takuya   +2 more
openaire   +5 more sources

Instability of Turing patterns in reaction-diffusion-ODE systems [PDF]

Journal of Mathematical Biology, 2016
The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz, Marciniak-Czochra, Anna, Suzuki, Kanako   +2 more
core   +3 more sources

Turing instabilities on Cartesian product networks [PDF]

Scientific Reports, 2015
AbstractThe problem of Turing instabilities for a reaction-diffusion system defined on a complex Cartesian product network is considered. To this end we operate in the linear regime and expand the time dependent perturbation on a basis formed by the tensor product of the eigenvectors of the discrete Laplacian operators, associated to each of the ...
ASLLANI, MALBOR, Busiello, Daniel M., Carletti, Timoteo, FANELLI, DUCCIO, Planchon, Gwendoline   +4 more
openaire   +7 more sources

Pattern formation (II): The Turing Instability [PDF]

Proceedings of the American Mathematical Society, 2007
We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of ln ⁡ 1 δ
Guo, Y, Hwang, HJ
openaire   +3 more sources

Turing instability under centrifugal forces [PDF]

Soft Matter, 2013
Self-organized patterns are sensitive to microscopic external perturbations that modify the diffusion process. We find that Turing instability formed in a compartmented medium, a Belousov-Zhabotinski-aerosol-OT micelle reaction, responds sensitively to a change in the diffusion process. In order to modify the diffusion mechanism, we apply a centrifugal
Guiu-Souto, Jacobo, Michaels, Lisa, Von Kameke, Alexandra V K, Carballido Landeira, Jorge, Munuzuri, Alberto A.P.   +4 more
openaire   +2 more sources

Turing instability for a Leslie–Gower model

Ricerche di Matematica, 2023
Abstract The aim of this paper is to investigate a reaction-diffusion Leslie–Gower predator–prey model, incorporating the intraguild predation and both self and cross-diffusion. The longtime behaviour of the solutions is analysed, proving the existence of an absorbing set.
Capone F., De Luca R., Fiorentino L., Luongo V., Massa G.   +4 more
openaire   +2 more sources

Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation

Open Mathematics, 2022
In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
doaj   +1 more source